Wiki topic outline

This is the first in a series of lessons on transformations
Reflection, rotation enlargement and translation

Learning Objective

WALT understand the transformation of reflection

By the end of the lesson
All of us will be able to reflect a shape in a line of symmetry
Most of us will be able to reflect a shape in the x and y axis
Some of us will be able to reflect shapes given equations of lines (e.g. x=1, y=2)

Investing:

  • This is useful because...
  • A functional (real-life) application is...
Look at this video and see lots of examples of symmetry in the world around us



Preparing:

  • Are we ready? Can you already... ?
Can you tell me how many lines of symmetry a square has?
How about a rectangle?
  • Let's be sure you can...
How many lines of symmetry does an equilateral triangle have?
How is this different to other types of triangles?
Why is it different?
Randomly choose pupils to answer these questions.

Discovering:

  • Can you figure it out yourself from these examples?
  • Try to predict the next one aloud or on a mini-whiteboard.
  • Investigate...

Modeling:

  • Here are some examples of people getting it right:
Use demonstration tool on reflection from echalk.
Reflection Tool
  • Here are some examples of people getting it wrong in typical ways:
  • Here are some more examples. Did they get it right or wrong? Explain how you know!

What would this shape look like if we reflected it in the line of symmetry
Reflection.png
Practicing:
  • Some straightforward examples.

  • Some harder examples.
Introducing the x and y axes


Sharing:

Show solutions on echalk demonstration tool.
Introduce the lines y = 1 and x = 2 using autograph
Show the lines but not the equations.
Key questions (for e.g. x = 2)
(1) What do you notice about the co ordinates on the line x = 2?
(2) What would that tell you about the equation of that line?
Now try these



Assessing:

Pass out exit pass (exam question on reflections)


Developing:

  • Next we could learn...
  • This leads to...
  • Now try...

last edited: Oct 13, 2013 9:58 am